Question
Write \( y^{3} \cdot y^{3} \) without exponents. \[ y^{3} \cdot y^{3}=\prod \]
Ask by Horton Park. in the United States
Feb 24,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y^{3} \cdot y^{3} = y \cdot y \cdot y \cdot y \cdot y \cdot y \).
Solution
When multiplying like bases, you add the exponents:
y³ · y³ = y^(3+3) = y⁶.
Without using exponents, y⁶ is written as:
y · y · y · y · y · y.
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Simplify this solution Beyond the Answer
When you multiply \( y^{3} \cdot y^{3} \), what you're really doing is taking \( y \) and multiplying it by itself a total of 6 times. So, you can rewrite this without exponents as: \[ y^{3} \cdot y^{3} = y \cdot y \cdot y \cdot y \cdot y \cdot y = \prod y \] This product signifies that you're multiplying six instances of \( y \).
